Identify the correct option regarding the given Statements and Conclusions:
Statements:
I. Some cars are bikes.
II. No bike is a truck.
Conclusions:
I. All trucks are cars.
II. Some bikes are cars.
Select the correct answer using the code given below:
- AOnly Conclusion II follows
- BNeither Conclusion I nor Conclusion II follows
- CBoth Conclusion I and Conclusion II follow
- DOnly Conclusion I follows
Solution & Step-by-step Explanation
Let's analyze the conclusions:
* Conclusion I ("All trucks are cars"): There is no direct absolute positive statement link matching all trucks inside the car group. Hence, it does not follow.
* Conclusion II ("Some bikes are cars"): Statement I says "Some cars are bikes", which conversationally means that there is an overlapping region containing elements that are both cars and bikes. Thus, "Some bikes are cars" is definitively true and follows.
Hence, only Conclusion II follows.
* Conclusion I ("All trucks are cars"): There is no direct absolute positive statement link matching all trucks inside the car group. Hence, it does not follow.
* Conclusion II ("Some bikes are cars"): Statement I says "Some cars are bikes", which conversationally means that there is an overlapping region containing elements that are both cars and bikes. Thus, "Some bikes are cars" is definitively true and follows.
Hence, only Conclusion II follows.